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Lecture

Fracture Mechanics: Exercises Review

In course

MSE-424: Fracture of materials

This course covers elementary fracture mechanics and its application to the fracture of engineering materials. ...

Description

This lecture reviews exercises related to fracture mechanics, focusing on 2D calculations for plates with cracks under different stress conditions. Topics include the effects of thickness, plastic zones, and the determination of plastic zone sizes.

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Instructors (4)

Jean-Marie Drezet

1992-1996: PhD work at Laboratoire de Métallurgie Physique under the supervision of Prof. Michel Rappaz (cf : http://library.epfl.ch/theses/?display=detail&nr=1509) 1997-2000: EMPACT project (European Modelling Programme for Aluminium Casting Technologies) 2001-2004: VIRCAST project (European Virtual Casting) 2005-2006: Study of the sawing process of rolling sheet al. ingots (Alcan Fonds) 2005-2006: WelAIR project (Welding of Airframes, EADS) 2005-2008: study of the electron beam welding of Cu-Cr-Zr alloys (CEA, France) 2006-2008: study of the laser beam welding of Al-Li alloys (EADS, France) 2008-2011: co-supervision with Prof. A. Nussbaumer of the PhD work of C. Acevedo on the influence of residual stresses on the fatigue design of tubular welded joints, http://library.epfl.ch/theses/?nr=5056 2007-2010: co-supervision with Prof. J.-F. Molinari of the PhD work of K. Shahim on the Normal Pressure Hydrocephalus (S. Momjian, HU-Genève et R. Sinkus, ESPCI-Paris), http://library.epfl.ch/theses/?nr=5191 2008-2012: co-supervision with Prof. M. Rappaz of the PhD work of M. Sistaninia on the simulation of solidification cracking using granular models (CCMX-MERU project) 2010-2014: supervision with Prof. M. Rappaz of the PhD work of N. Chobaut on the modelling of stresses during quenching of thick heat treatable aluminium parts (CCMX-MERU project) 2011-2015: supervision with Prof. H. Van Swygenhoven-Moens of the PhD work of P. Schloth on precipitation during quenching of thick heat treatable aluminium parts (CCMX-MERU project)

Jean-François Molinari

Professor J.F. Molinari is the director of the Computational Solid Mechanics Laboratory (http://lsms.epfl.ch) at EPFL, Switzerland. He holds an appointment in the Civil Engineering institute, which he directed from 2013 to 2017, and a joint appointment in the Materials Science institute. He started his tenure at EPFL in 2007, and was promoted to Full Professor in 2012. He is currently an elected member of the Research Council of the Swiss National Science Foundation in Division 2 (Mathematics, Natural and Engineering Sciences), and co editor in chief of the journal Mechanics of Materials. J.F. Molinari graduated from Caltech, USA, in 2001, with a M.S. and Ph.D. in Aeronautics. He held professorships in several countries besides Switzerland, including the United States with a position in Mechanical Engineering at the Johns Hopkins University (2000-2006), and France at Ecole Normale Supérieure Cachan in Mechanics (2005-2007), as well as a Teaching Associate position at the Ecole Polytechnique de Paris (2006-2009). The work conducted by Prof. Molinari and his collaborators takes place at the frontier between traditional disciplines and covers several length scales from atomistic to macroscopic scales. Over the years, Professor Molinari and his group have been developing novel multiscale approaches for a seamless coupling across scales. The activities of the laboratory span the domains of damage mechanics of materials and structures, nano- and microstructural mechanical properties, and tribology.

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Related concepts (32)

Fracture mechanics

Fracture mechanics is the field of mechanics concerned with the study of the propagation of cracks in materials. It uses methods of analytical solid mechanics to calculate the driving force on a crack and those of experimental solid mechanics to characterize the material's resistance to fracture. Theoretically, the stress ahead of a sharp crack tip becomes infinite and cannot be used to describe the state around a crack. Fracture mechanics is used to characterise the loads on a crack, typically using a single parameter to describe the complete loading state at the crack tip.

Fracture

Fracture is the separation of an object or material into two or more pieces under the action of stress. The fracture of a solid usually occurs due to the development of certain displacement discontinuity surfaces within the solid. If a displacement develops perpendicular to the surface, it is called a normal tensile crack or simply a crack; if a displacement develops tangentially, it is called a shear crack, slip band or dislocation. Brittle fractures occur without any apparent deformation before fracture.

Fracture toughness

In materials science, fracture toughness is the critical stress intensity factor of a sharp crack where propagation of the crack suddenly becomes rapid and unlimited. A component's thickness affects the constraint conditions at the tip of a crack with thin components having plane stress conditions and thick components having plane strain conditions. Plane strain conditions give the lowest fracture toughness value which is a material property.

Stress (mechanics)

In continuum mechanics, stress is a physical quantity that describes forces present during deformation. An object being pulled apart, such as a stretched elastic band, is subject to tensile stress and may undergo elongation. An object being pushed together, such as a crumpled sponge, is subject to compressive stress and may undergo shortening. The greater the force and the smaller the cross-sectional area of the body on which it acts, the greater the stress. Stress has units of force per area, such as newtons per square meter (N/m2) or pascal (Pa).

File system

In computing, a file system or filesystem (often abbreviated to fs) is a method and data structure that the operating system uses to control how data is stored and retrieved. Without a file system, data placed in a storage medium would be one large body of data with no way to tell where one piece of data stopped and the next began, or where any piece of data was located when it was time to retrieve it. By separating the data into pieces and giving each piece a name, the data are easily isolated and identified.

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John Christopher Plummer

ÉCOLE POLYTECHNIQUE FÉDÉRALE DE LAUSANNE (EPFL), Lausanne, Switzerland 1989- Collaborateur Scientifique/Chargé de Cours (Lecturer) (1998-) Privat Docent (1998) Laboratoire de Technologie des Composites et Polymères (LTC) (2000-) Laboratoire de Polymères (LP) (1998-2000) UNIVERSITY OF MICHIGAN (UMICH), Ann Arbor, MI, USA 1995-1996 Visiting Scientist, Department of Materials Science and Engineering (DMSE) UNIVERSITY OF CAMBRIDGE, Cambridge, UK 1986-1989 Research Assistant, Physics and Chemistry of Solids Group (PCS), Department of Physics UNIVERSITY OF CAMBRIDGE, Cambridge, UK, Department of Materials 1986 PhD, "Flux Pinning in Type-II Superconductors" UNIVERSITY OF CAMBRIDGE, Cambridge, UK, 1982 BA/MA Honours Degree in Natural Sciences Awards Prix R&R Haenny, 2007, DuPont Research Award, 2003, Commendation, British Polymer Group, Reading 1989 RECENT PUBLICATIONS Ramier J, Da Costa N, Plummer CJG, Leterrier Y, Manson JAE, Eckert R, Gaudiana R, Cohesion and adhesion of nanoporous TiO2 coatings on titanium wires for photovoltaic applications, Thin solid films, 516, 1913 (2008). Ramier J, Plummer CJG, Leterrier Y, Manson JAE, Eckert B, Gaudiana R, Mechanical integrity of dye-sensitized photovoltaic fibers, Renewable energy, 33, 314 (2008).

Houphouet-Boigny C, Plummer CJG, Wakeman MD, Manson JAE, Hybrid glass fiber-reinforced thermoplastic nanocomposites, J. Thermoplast. Comp. Mater., 21, 103 (2008).

Ternat C, Ouali L, Sommer H, Fieber W, Velazco MI, Plummer CJG, Kreutzer G, Klok HA, Manson JAE, Herrmann, Investigation of the Release of Bioactive Volatiles from Amphiphilic Multiarm Star-Block Copolymers by Thermogravimetry and Dynamic Headspace Analysis, Macromolecules 41(19), 7079 (2008). Ruggerone, R., Plummer, C.J.G., Negrete Herrera, N., Bourgeat-Lami, E., Månson, J-EA, Mechanical properties of highly filled latex-based polystyrene/laponite nanocomposites, Solid State Phenomena Vol. 151, 30 (2009). Plummer, CJG, Dalle Vacche, S, Houphouët-Boigny, C, Michaud, V, Månson, JAE, Hybrid Glass Mat Reinforced Polypropylene-Montmorillonite Nanocomposites, Solid State Phenomena Vol. 151, 60 (2009). Ruggerone, R., Plummer, C.J.G., Negrete Herrera, N., Bourgeat-Lami, E., Månson, J-EA, Highly filled polystyrenelaponite nanocomposites prepared by emulsion polymerization, European Polm. J. 45, 621 (2009). Ruggerone, R., Plummer, C.J.G., Negrete Herrera, N., Bourgeat-Lami, E., Månson, J-EA, Fracture mechanisms in polystyrene/laponite nanocomposites prepared by emulsion polymerization, Engineering Fracture Mechanics 76, 2846 (2009) Clausen P., Andreoni W., Curioni A., Hughs E., Plummer C.J.G. Adsorption of low-molecular-weight molecules on the surface of a sodium smectite clay: an ab initio study, Journal of Physical Chemistry C 113, 12293 (2009). Clausen P., Andreoni W., Curioni A., Hughs E., Plummer C.J.G., Water adsorption on a sodium smectite clay surface: an ab initio study, Journal of Physical Chemistry C 113, 15218 (2009). Molberg, M, Leterrier, Y., Plummer, C.J.G., Walder, C., Löwe, C., Opris, D.M., Nüesch, F.A., Bauer, S., Månson, J.-A.E., Frequency dependent dielectric and mechanical behaviour of elastomers for actuator applications, J. Appl. Phys. 106, 054112 (2009) Clausen P., Signorelli M., Schreiber A., Hughes E., Plummer CJG, Fessas D., Schiraldi A., Månson E. J.-A., Equilibrium desorption isotherms of water, ethanol, ethyl acetate and toluene on a sodium smectite clay, Journal of Thermal Analysis and Calorimetry 98, 833 (2009) Micusik, M., Bonnefond, A., Reyes, Y., Bogner, A., Chazeau, L., Plummer, C.J.G., Paulis, M., Leiza, J.R., Morphology of Polymer/Clay Latex Particles Synthesized by Miniemulsion Polymerization: Modeling and Experimental Results Macromol. React. Eng. 2010, 4, 432 (2010). Houphouet-Boigny C., Plummer CJG, Vacche SD, Michaud V, Wakeman MD, Månson E. J.-A., Hybrid Glass Mat-reinforced Polypropylene-Montmorillonite Nanocomposites, J. Comp. Mater. 44, 1975 (2010). Delabarde, C., Plummer C.J.G., Bourban, P.-E., Månson E. J.-A., Solidification behavior of PLLA/nHA nanocomposites, Comp. Sci. & Tech. 70, 1813 (2010). Plummer C.J.G., Ruggerone R., Negrete-Herrera N., Bourgeat-Lami E., Månson J.-A.E., Small Strain Mechanical Properties of Latex-Based Nanocomposite Films, Macromol. Symp. 294, 1 (2010). Dalle Vacche, S., Plummer C.J.G., Houphouet-Boigny C., Månson E. J.-A., Morphology and mechanical properties of isotactic polypropylene glass mat thermoplastic composites modified with organophilic montmorillonite, J Mater Sci 46, 2112 (2011).

Related concepts (32)